Approximate $k$-Nearest Neighbor Graph on Moving Points

In this paper, we introduce an approximation for the $k$-nearest neighbor graph ($k$-NNG) on a point set $P$ in $\mathbb{R}^d$. For any given $\varepsilon>0$, we construct a graph, that we call the \emph{approximate $k$-NNG}, where the edge with the $i$th smallest length incident to a point $p$ i...

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Bibliographic Details
Main Author: Zahed Rahmati
Format: Article
Language:English
Published: University of Isfahan 2023-06-01
Series:Transactions on Combinatorics
Subjects:
Online Access:https://toc.ui.ac.ir/article_26356_e43137e88ed08bf405990ce3538fd339.pdf